| 1 | x | x2 | x3 | commentaire |
0 | 0 | 0 | 0 | 0 | constante |
1 | 1 | 0 | 0 | 0 | constante |
x | 0 | 1 | 0 | 0 | polynôme d°1 |
x+1 | 1 | 1 | 0 | 0 | polynôme d°1 |
polynômes de d°2 : 4 cas possibles |
x2 | 0 | 0 | 1 | 0 | carré |
x2+1 | 1 | 0 | 1 | 0 | (x+1)2 |
x2+x | 0 | 1 | 1 | 0 | x(x+1) |
x2+x+1 | 1 | 1 | 1 | 0 | irréductible P2 |
polynômes de d°3 : 8 cas possibles |
x3 | 0 | 0 | 0 | 1 | cube |
x3+1 | 1 | 0 | 0 | 1 | (x+1) (x2+x+1) |
x3+x | 0 | 1 | 0 | 1 | x (x+1)2 |
x3+x+1 | 1 | 1 | 0 | 1 | irréductible P3.1 |
x3+x2 | 0 | 0 | 1 | 1 | x2 (x+1) |
x3+x2+1 | 1 | 0 | 1 | 1 | irréductible P3.2 |
x3+x2+x | 0 | 1 | 1 | 1 | x (x2+x+1) |
x3+x2+x+1 | 1 | 1 | 1 | 1 | (x+1)3 |
polynômes de d°4 : 16 cas possibles |
degré 4 : tous les produits de degré 4 entre x, x+1, P